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Lecture
Dynamics on Homogeneous Spaces and Number Theory
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Related lectures (28)
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Equidistribution of CM Points
Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Dynamics on Homogeneous Spaces and Interactions with Number Theory
Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.
Lie Algebra: Group Theory
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Ergodic properties of low complexity symbolic systems
Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.
Smooth Dynamics: Bernoulli and K Properties
Explores Bernoulli and K properties in smooth dynamics, including equivalence, examples, and implications.
Macdonald identities
Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.
General Fields: Lorentz Representations
Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.
Jacobi Identity in Lie Algebra
Explores the significance of the Jacobi identity in Lie algebra and its impact on linear vector spaces.
Complete Reducibility of Complex Representations
Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.
Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.